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Let F(x)=1+f(x)+(f(x))^2+(f(x))^3 where ...

Let `F(x)=1+f(x)+(f(x))^2+(f(x))^3` where `f(x)` is an increasing differentiable function and `F(x)=0` hasa positive root, then

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RESONANCE DPP-JEE MAINS-All Questions
  1. Radius of the circle x^2+y^2+2x costheta+2y sin theta-8=0 is 1 2. 3...

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  2. Number of solutions of the equation t a n x+s e c x=2cos x lying in th...

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  3. Let F(x)=1+f(x)+(f(x))^2+(f(x))^3 where f(x) is an increasing differen...

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  4. The mean of 11 items overline(X). If first item is increased by 1, sec...

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  5. underset(xto0)(lim)(ln(2+x^(2))-ln(2-x^(2)))/(x^(2)) is equal to

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  6. Number of solutions of the equation e(k-xlnx)=1 for kepsilon(0,(1)/(e)...

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  7. The coefficient of x^(49) in the product (x-1)(x-3)(x+99)i s -99^2 b....

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  8. The argument of the complex number sin 6pi/5 + i ( 1 + cos 6pi/5) is

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  9. In an equilateral triangle, the inradius and the circumradius are c...

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  10. a1,a2, a3, ,an are in A.P. and a1+a3+a5+a7+a9=20 then a5 is 2 2. ...

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  11. Let A ,B ,C are three sets such that n(A)=25 ,n(B)=20 ,n(C)=27 ,n(AnnB...

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  12. All letters of the word 'RACHIT' are permuted in all possible ways ...

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  13. The sum of the series 1+4+3+6+5+8+ upto n term when n is an even numbe...

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  14. The positive integers p ,q and r , then possible value of r is 3 (b) ...

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  15. Angles A ,Ba n d C ofa triangle A B C in A.P. with the usual notations...

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  16. If (x1, y1) be the centroid of the triangle formed by a line L and c...

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  17. The value of sin^(-1){cot(sin^(-1)sqrt((2-sqrt(3))/4)+cos^(-1)(sqrt(1...

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  18. Let I=int(kpi)^((k+1)pi)(|sin2x|)/(|sinx|+|cosx|)dx,(kepsilonN) and J=...

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  19. The greatest integral value of m for which the point of intersection...

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  20. The angle between the asymptotes of (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 ...

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